Kinematic equations for front motion and spiral-wave nucleation

Aric Hagberg and Ehud Meron

Physica A: Statistical Mechanics and its Applications, 1998, vol. 249, issue 1, 118-124

Abstract: We present a new set of kinematic equations for front motion in bistable media. The equations extend earlier kinematic approaches by coupling the front curvature with the order parameter associated with a parity-breaking front bifurcation. In addition to naturally describing the core region of rotating spiral waves, the equations can be used to study the nucleation of spiral-wave pairs along uniformly propagating fronts. The analysis of spiral-wave nucleation reduces to the simpler problem of droplet, or domain, nucleation in one space dimension.

Date: 1998
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:249:y:1998:i:1:p:118-124

DOI: 10.1016/S0378-4371(97)00439-1

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